Lie Group Classification for a Generalised Coupled Lane-Emden System in Dimension One

DOI10.4208/eajam.080214.230814azbMath1321.34052OpenAlexW2335378512WikidataQ115211224 ScholiaQ115211224MaRDI QIDQ5175449

Ben Muatjetjeja, Chaudry Masood Khalique

Publication date: 23 February 2015

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.080214.230814a

zbMATH Keywords

equivalence transformationsprincipal Lie algebraLie point symmetriesLie group classificationNoether integralsgeneralised Lane-Emden system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (6)

Exact solutions and conservation laws for a generalized double combined sinh-cosh-Gordon equation ⋮ Symmetry solutions and conserved vectors of the two-dimensional Korteweg-de Vries equation ⋮ Symmetry analysis of a Lane-Emden-Klein-Gordon-Fock system with central symmetry ⋮ Group analysis of a hyperbolic Lane-Emden system ⋮ Invariant solutions and nonlinear self-adjointness of the two-component Chaplygin gas equation ⋮ Symmetries and conservation laws of the Yao-Zeng two-component short-pulse equation

Cites Work

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• On the Lane-Emden system in dimension one
• Lie point symmetries of the Lane-Emden systems
• Lagrangian approach to a generalized coupled Lane-Emden system: symmetries and first integrals
• A priori estimates for a semilinear elliptic system without variational structure and their applications
• Non-existence of positive solutions of Lane-Emden systems
• Existence and uniqueness of solutions for a semilinear elliptic system
• First integrals for the modified Emden equation q̈+α(t) q̇+q n =0
• Symmetry group classification of ordinary differential equations: Survey of some results
• Symmetries and differential equations
• The existence of ground states to a weakly coupled elliptic system.

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